On the rigidity from infinity for nonlinear Alfven waves

被引：8

作者：

Li, Mengni ^{[1
,2
]}

Yu, Pin ^{[1
,2
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 283卷

关键词：

Alfven wave; Magnetohydrodynamics; Weighted energy estimate; Global solution; Scattering field; GLOBAL SMALL SOLUTIONS; STATIONARY BLACK-HOLES; WELL-POSEDNESS; UNIQUENESS; EQUATIONS; THEOREM; FIELDS;

D O I：

10.1016/j.jde.2021.02.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Alfven waves are fundamental wave phenomena in magnetized plasmas and the dynamics of Alfven waves are governed by a system of nonlinear partial differential equations called the MHD system. In this paper, we study the rigidity aspect of the scattering problem for the MHD equations. We prove that the Alfven waves must vanish if their scattering fields vanish at infinities. The proof is based on a careful study of the null structure and a family of weighted energy estimates. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：163 / 215

页数：53

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